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Finding the Fourth Proportional to 309,953.49, 464,486.30 and 176,558.33

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Solution

The fourth proportional to 309,953.49, 464,486.30 and 176,558.33 is: 264,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,953.49 : 464,486.30 = 176,558.33 : x
  2. Step 2: Convert to fraction form
    309,953.49/464,486.30 = 176,558.33/x
  3. Step 3: Cross multiply
    309,953.49x = 464,486.30 × 176,558.33
  4. Step 4: Simplify right side
    309,953.49x = 82,008,926,376.40
  5. Step 5: Solve for x
    x = 82,008,926,376.40/309,953.49
  6. Step 6: Final answer
    x = 264,584.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.